I think you want to
:set clipboard+=unnamed,unnamedplus
From the help:
unnamedplus A variant of "unnamed" flag which uses the clipboard register '+' (|quoteplus|) instead of register '*' for all operations except yank. Yank shall copy the text into register '+' and also into '*' when "unnamed" is included.
Note that you need a fairly new Vim 7.3 (patchlevel 151?) for this option value.